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Finding the Fourth Proportional to 360,808.47, 497,908.22 and 199,653.84

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Solution

The fourth proportional to 360,808.47, 497,908.22 and 199,653.84 is: 275,518.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,808.47 : 497,908.22 = 199,653.84 : x
  2. Step 2: Convert to fraction form
    360,808.47/497,908.22 = 199,653.84/x
  3. Step 3: Cross multiply
    360,808.47x = 497,908.22 × 199,653.84
  4. Step 4: Simplify right side
    360,808.47x = 99,409,287,092.30
  5. Step 5: Solve for x
    x = 99,409,287,092.30/360,808.47
  6. Step 6: Final answer
    x = 275,518.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.